Measurement Error and Counterfactuals in Quantitative Trade and Spatial Models (2311.14032v4)
Abstract: Counterfactuals in quantitative trade and spatial models are functions of the current state of the world and the model parameters. Common practice treats the current state of the world as perfectly observed, but there is good reason to believe that it is measured with error. This paper provides tools for quantifying uncertainty about counterfactuals when the current state of the world is measured with error. I recommend an empirical Bayes approach to uncertainty quantification, and show that it is both practical and theoretically justified. I apply the proposed method to the settings in Adao, Costinot, and Donaldson (2017) and Allen and Arkolakis (2022) and find non-trivial uncertainty about counterfactuals.
- Adao, R., A. Costinot, and D. Donaldson (2017): “Nonparametric counterfactual predictions in neoclassical models of international trade,” American Economic Review, 107, 633–689.
- Adão, R., A. Costinot, and D. Donaldson (2023): “Putting Quantitative Models to the Test: An Application to Trump’s Trade War,”Technical report, National Bureau of Economic Research.
- Allen, T., and C. Arkolakis (2018): “13 Modern spatial economics: a primer,” World Trade Evolution, 435.
- (2022): “The welfare effects of transportation infrastructure improvements,” The Review of Economic Studies, 89, 2911–2957.
- Allen, T., C. Arkolakis, and Y. Takahashi (2020): “Universal gravity,” Journal of Political Economy, 128, 393–433.
- Armington, P. S. (1969): “A Theory of Demand for Products Distinguished by Place of Production,” Staff Papers-International Monetary Fund, 159–178.
- Balda, E. R., A. Behboodi, and R. Mathar (2019): “Perturbation analysis of learning algorithms: Generation of adversarial examples from classification to regression,” IEEE Transactions on Signal Processing, 67, 6078–6091.
- Chesher, A. (2003): “Identification in nonseparable models,” Econometrica, 71, 1405–1441.
- Costinot, A., and A. Rodríguez-Clare (2014): “Trade theory with numbers: Quantifying the consequences of globalization,” in Handbook of international economics Volume 4: Elsevier, 197–261.
- Dingel, J. I., and F. Tintelnot (2020): “Spatial economics for granular settings,”Technical report, National Bureau of Economic Research.
- Geweke, J., and L. Petrella (1998): “Prior density-ratio class robustness in econometrics,” Journal of Business & Economic Statistics, 16, 469–478.
- Goes, I. (2023): “The Reliability of International Statistics Across Sources and Over Time.”
- Hoderlein, S., and E. Mammen (2007): “Identification of marginal effects in nonseparable models without monotonicity,” Econometrica, 75, 1513–1518.
- Hu, Y. (2015): “Microeconomic models with latent variables: applications of measurement error models in empirical industrial organization and labor economics,” Available at SSRN 2555111.
- Hu, Y., and S. M. Schennach (2008): “Instrumental variable treatment of nonclassical measurement error models,” Econometrica, 76, 195–216.
- Linsi, L., B. Burgoon, and D. K. Mügge (2023): “The Problem with Trade Measurement in International Relations,” International Studies Quarterly, 67, sqad020.
- Matzkin, R. L. (2003): “Nonparametric estimation of nonadditive random functions,” Econometrica, 71, 1339–1375.
- (2008): “Identification in nonparametric simultaneous equations models,” Econometrica, 76, 945–978.
- Mayer, T., and S. Zignago (2011): “Notes on CEPII’s distances measures: The GeoDist database.”
- Moosavi-Dezfooli, S.-M., A. Fawzi, O. Fawzi, and P. Frossard (2017): “Universal adversarial perturbations,” in Proceedings of the IEEE conference on computer vision and pattern recognition, 1765–1773.
- Musunuru, A., and R. J. Porter (2019): “Applications of measurement error correction approaches in statistical road safety modeling,” Transportation research record, 2673, 125–135.
- Ortiz-Ospina, E., and D. Beltekian (2018): “International trade data: why doesn’t it add up?” Our World in Data.
- Ossa, R. (2015): “Why trade matters after all,” Journal of International Economics, 97, 266–277.
- Redding, S. J., and E. Rossi-Hansberg (2017): “Quantitative spatial economics,” Annual Review of Economics, 9, 21–58.
- Schennach, S. M. (2016): “Recent advances in the measurement error literature,” Annual Review of Economics, 8, 341–377.
- Schennach, S., H. White, and K. Chalak (2012): “Local indirect least squares and average marginal effects in nonseparable structural systems,” Journal of Econometrics, 166, 282–302.
- Song, S., S. M. Schennach, and H. White (2015): “Estimating nonseparable models with mismeasured endogenous variables,” Quantitative Economics, 6, 749–794.
Sponsor
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.